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3 years ago

Find 6 times as many as 2 divided by 6

Mathematics

2 answers:

scoundrel [369]3 years ago

3 0

Rewrite this symbolically: 6(2/6) = 12/6 = 2 (answer)

An equally good approach would be to cancel the 6's, obtaining 2 (answer)

sineoko [7]3 years ago

3 0

Answer:

Step-by-step explanation:

We are given that 6 times as many as 2 divided by 6

We have to find the value of 6 times as many as 2 divided by 6

2 divided by 6

Then, we get

$2\div 6=\frac{1}{3}$

6 times of $\frac{1}{3}=6\times \frac{1}{3}$

Then, we get 2

Hence, 6 times as many as 2 divided by 6=2

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Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).

guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is 21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area = $\int\limits^5_2$ [(-4/5)x+5 - (-7/2)x + 5)dx + $\int\limits^5_1$ [(-4/5)x+5 -(x-4)]dx

=>area= $\int\limits^5_2$ (7/2-4/5)x dx + $\int\limits^5_1$ ((-9/5)x+9)dx

Using properties of integration, $\int\limits x\, dx=x^{2}/2$

=>area= $\int\limits^5_2$ (27/10)x dx + $\int\limits^5_1$ (-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0

1 year ago

Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28

natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequence $a_n=4n-7$ , the parameter $n$ must to be a integer.

Second, we need to solve the equations by $n$ .

$n=(a_n+7)/4$

All the option in the problem represent an $a_n$

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

$n=(29+7)/4=9\\$

For B)

$n=(21+7)/4=7\\$

For C)

$n=(20+7)/4=6.75\\$

For D)

$n=(28+7)/4=8.75\\$

Only A) and B) only A and B meet the requirement

4 0

3 years ago

Can someone help me in #66

VladimirAG [237]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)
\\ \quad \\
% Logarithm of rationals
log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)
\\ \quad \\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-------------------------------\\\\
$

$\bf log_4\left( \cfrac{\sqrt{x^5y^7}}{zw^4} \right)\implies log_4(\sqrt{x^5y^7})-log_4(zw^4)
\\\\\\
log_4\left[(x^5y^7)^{^\frac{1}{2}}\right]-log_4(zw^4)\implies 
\cfrac{1}{2}log_4\left[(x^5y^7)\right]-log_4(zw^4)
\\\\\\
\cfrac{1}{2}\left[ log_4(x^5)+log_4(y^7) \right] -[log_4(z)+log_4(w^4)]
\\\\\\
\cfrac{1}{2}log_4(x^5)+\cfrac{1}{2}log_4(y^7)-[log_4(z)+log_4(w^4)]$

$\bf \cfrac{1}{2}\cdot 5log_4(x)+\cfrac{1}{2}\cdot 7log_4(y)-log_4(z)-4log_4(w)
\\\\\\
\cfrac{5}{2}log_4(x)+\cfrac{7}{2}log_4(y)-log_4(z)-4log_4(w)$

6 0

3 years ago

a hot air balloon is at an altitude of 240 feet. the balloon descends at 30 feet per minute. what equation gives the altitude y,

Rina8888 [55]

To solve this problem you must follow the steps below:

1. The problem says that:

- The<span> hot air balloon is at an altitude of 240 feet.
- It descends at 30 feet per minute.

2. Therefore, you have:

x: the time in minutes.
y: the altitute in feet.

3. Keeping all this information on mind, you can write the following equation:

y=240-30x

4. Therefore, as you can see, the answer is:
</span>
y=240-30x

6 0

3 years ago

Part C

charle [14.2K]

Answer:

(x,y+7)

Step-by-step explanation:

A translation means you are moving the image a certain amount of units, in this case, 7 units up. Since x values are all horizontal x does not change, but all y values will be 7 units higher.

For example (1,2) becomes (1,9).

8 0

3 years ago